 Cn2 cos c — 2 cos a . cos 6 ; from which we obtain, cos c — cos a . cos b cos c = : sin a . sin b This formula is inconvenient for logarithmic computation. /or...  A Manual of Quaternions - Page 30by Charles Jasper Joly - 1905 - 320 pagesFull view - About this book
 | Silvestre François Lacroix - Geometry, Analytic - 1813 - 332 pages
...A = — cos B cos C + cos a sin B sin Cj cos B = — cos A cos C -f- cos b sin A sin C> . . . (B'). cos C = : — cos A cos B + cos c sin A sin B ) 5o. Il faut remarquer qu'en prenant les cosinus négativement, on passe des arcs a, b,c, et des angles... | |
 | Silvestre François Lacroix - Calculus - 1816 - 750 pages
...other, and is therefore equal to the angle T'MT{. Now (Woodhouse's Trigonometry, 1st edit. p. 100), ,, cos c - cos a . cos b COS C = : : , sin a . sin b which, since cos c =o, gives o = l-|-tan a . tan b . cos C, and substituting for these quantities their... | |
 | Silvestre François Lacroix - Geometry, Analytic - 1826 - 190 pages
...— cos B cos C -f- cos a sin B sin C} cos B = — cos A cos C -j- cos b sin A sin C > . . . (B'). cos C = — cos A cos B + cos c sin A sin B 3 50. It must be remarked, that by taking the cosines negatively, we pass from the arcs «, 6, c, and... | |
 | Jan Śniadecki - Spherical trigonometry - 1828 - 240 pages
...ben 3íequator unb. gegen bie Scliptií ¿ид1е(ф; wit erhalten benfelben oite ber tйIgleiфung cos c- — cos a. cos b cos C = sin a. sin b cos ta -r- sin y. sinß cosy, «os /9 ' llg - ._v ' obet её fartn berfelbe йиф ш>ф оме bet... | |
 | Richard Abbatt - Spherical astronomy - 1841 - 234 pages
...a . cos b cos a . cos b 2 sin a . sin 6 . cos Cn2 cos c — 2 cos a . cos 6 ; from which we obtain, cos c — cos a . cos b cos c = : sin a . sin b This formula is inconvenient for logarithmic computation. /or» \ o • /~< COS C — COS O, . COS... | |
 | Gustave Pontécoulant - Celestial mechanics - 1856 - 624 pages
...compris sur ce plan, entre cette même orbite et l'orbite fixe. de 1759. On aura dans ce triangle * • cos C = cos A cos B — cos c sin A sin B, v L'angle B représentant, d'après l'hypothèse, l'inclinaison de l'orbite vraie sur l'orbite fixe,... | |
 | Adam ritter von Burg - 1859 - 708 pages
...man zugleich die Accente wegläset, indem diese Relation nun in jedem sphärischen Dreiecke gilt : cos C + cos A cos B COS c — sin A sin B §. 68. Drückt man (auf ähnliche Art, wie in §. 62) in der Formel von §. 66 cos C durch den halben... | |
 | George Roberts Perkins - Geometry - 1860 - 472 pages
...sin. B sin. 0 and by permuting, , cos. B + cos. C cos. A cos. b = : — ~j— . — T ; sin. (J sin. A cos. C + cos. A cos. B cos. c = • sin. A sin. B (B.) •formula, where the sides will take the place of angles, and the angles will take the place... | |
 | Sir William Rowan Hamilton - Quaternions - 1866 - 868 pages
...derive one form of the fundamental equation of spherical trigonometry ; namely, the equation, XIV. . . cos c + cos A cos B = cos c sin A sin B. (4.) Taking the vectors, we have this other formula : XV. . . ysinc = asin A cos B + /3 sin B cos A... | |
 | Isaac Todhunter - 1874 - 354 pages
...sin B} = 1 + cos C oos 4 cos A 28. Take Example 27, and divide by sin A sin B sin C ; l cos A cos B cos C cos A cos B cos C sin A sin B sin C sm A sin .ß sin (J sin ¿ sin B sin C ' thus we obtain the required result. 29. By Example 17... | |
| |
